7. A tennis ball is released from a height of 1.6 m and rebounds from the ground until to a height of 1 m. If it is allowed to bounce once again, what would be the next height that it can 1.6 m reach? 1.0 m
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- 2. Cart 1 of mass m = 0.50kg fastened to a spring of spring constant k = 14N/m is pushed 15 mm in from its equilibrium position and held in place by a ratchet (Fig. 2). An identical cart 2 is launched at a speed of 0.10m/s toward cart 1. The carts collide elastically releasing the ratchet and setting cart 1 in motion. After the collision, cart 2 is immediately removed from the track. a What is the maximum compression of the spring? b How many seconds elapse between the instant the carts collide and the instant the spring reaches maximum compression? _JM www cart 1 cart 1 Figure 2 cart 26) A massless spring, with force constant k=191N/m, connects a wall and a block of wood. The system is initially at rest with the spring neither stretched nor compressed. The block has mass M=54.2g and is free to move without friction on a table. A gun is positioned to fire a bullet of mass m=6.86g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d=0.857m. b) What is the speed, in meters per second, of the bullet before it enters the block? c) What is the frequency, in hertz, of the resulting periodic motion of the block/bullet and spring system?4. In an elastic head-on collision, a 0.60 kg cart moving at 5.0 m/s [E] collides with a 0.80 kg cart moving at 2.0 m/s [W]. The collision is cushioned by a spring (k = 1,200 N/m). i. Determine the velocity of each cart after the collision. ii. Determine the maximum compression of the spring.
- 2. A 1.2 kg cart moving at 6.0 m/s [E] collides with a stationary 1.8 kg cart. The head-on collision is completely elastic and is cushioned by a spring. b)The maximum compression of the spring during the collision is 2.0 cm. Find the spring constant. do it correctly please and thank youOne way to measure the speed of a bullet is to fire it into a block of wood attached to a spring. The bullet hits the block and remains lodged in it. The spring is compressed after the collision. If the mass of the bullet is 8.0×10−38.0×10−3 kg, and the mass of the block is 4.0 kg, and the spring constant is 2400 N/m, then what is the initial speed of the bullet if the maximum compression of the spring is 0.087 m? Give your answer in m/s.What is the spring constant of the spring as shown, in N/m? Use g = 10 m/s². Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. 100 g 10 20 30 40 50 60 70 80 90 3